:: SCMRING4 semantic presentation

begin

theorem :: SCMRING4:1
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) holds dl. (R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Element of the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) = [1 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ] : ( ( ) ( non empty ) Element of K25(NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ,NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) : ( ( ) ( Relation-like non empty non trivial non finite non empty-membered ) set ) ) ;

theorem :: SCMRING4:2
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for dl being ( ( Int-like ) ( Int-like ) Data-Location of ) ex i being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) st dl : ( ( Int-like ) ( Int-like ) Data-Location of ) = dl. (R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Element of the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;

theorem :: SCMRING4:3
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for i, j being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) st i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) <> j : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) holds
dl. (R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Element of the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) <> dl. (R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ,j : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Element of the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;

theorem :: SCMRING4:4
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for s being ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) holds Data-Locations : ( ( ) ( non empty non trivial non finite non empty-membered ) Element of K24( the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) c= dom s : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ;

theorem :: SCMRING4:5
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a being ( ( Int-like ) ( Int-like ) Data-Location of )
for loc being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for s being ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) holds s : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = (s : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) +* (Start-At (loc : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ,(SCM R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) )) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b3 : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) -started V204() ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total b3 : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) -started ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;

theorem :: SCMRING4:6
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for s1, s2 being ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) st IC s1 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) = IC s2 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) & ( for a being ( ( Int-like ) ( Int-like ) Data-Location of ) holds s1 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = s2 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ) holds
s1 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) = s2 : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b1 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ;

registration
let R be ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ;
cluster SCM R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) L11()) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) -> strict relocable ;
end;

definition
let R be ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ;
let a be ( ( Int-like ) ( Int-like ) Data-Location of ) ;
let r be ( ( ) ( ) Element of ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;
:: original: .-->
redefine func a .--> r -> ( ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like the_Values_of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible finite ) ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like the_Values_of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like the carrier of (SCM R : ( ( standard-ins V142() ) ( Relation-like non empty standard-ins V142() ) set ) ) : ( ( strict ) ( strict ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible finite V127() V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ;
end;

registration
let R be ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ;
cluster SCM R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) L11()) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) -> strict IC-recognized ;
end;

registration
let R be ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ;
cluster SCM R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) L11()) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) -> strict CurIns-recognized ;
end;

theorem :: SCMRING4:7
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a, b being ( ( Int-like ) ( Int-like ) Data-Location of )
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = a : ( ( Int-like ) ( Int-like ) Data-Location of ) := b : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ins-loc-free V156(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) with_explicit_jumps IC-relocable V207(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) V209(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & a : ( ( Int-like ) ( Int-like ) Data-Location of ) in dom p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty finite V127() ) set ) holds
(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = (Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;

theorem :: SCMRING4:8
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a, b being ( ( Int-like ) ( Int-like ) Data-Location of )
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = AddTo (a : ( ( Int-like ) ( Int-like ) Data-Location of ) ,b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ins-loc-free V156(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) with_explicit_jumps IC-relocable V207(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) V209(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & a : ( ( Int-like ) ( Int-like ) Data-Location of ) in dom p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty finite V127() ) set ) holds
((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) + ((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) + ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;

theorem :: SCMRING4:9
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a, b being ( ( Int-like ) ( Int-like ) Data-Location of )
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = SubFrom (a : ( ( Int-like ) ( Int-like ) Data-Location of ) ,b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ins-loc-free V156(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) with_explicit_jumps IC-relocable V207(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) V209(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & a : ( ( Int-like ) ( Int-like ) Data-Location of ) in dom p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty finite V127() ) set ) holds
((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) - ((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) - ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;

theorem :: SCMRING4:10
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a, b being ( ( Int-like ) ( Int-like ) Data-Location of )
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = MultBy (a : ( ( Int-like ) ( Int-like ) Data-Location of ) ,b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ins-loc-free V156(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) with_explicit_jumps IC-relocable V207(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) V209(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & a : ( ( Int-like ) ( Int-like ) Data-Location of ) in dom p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty finite V127() ) set ) holds
((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) * ((Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) * ((Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . b : ( ( Int-like ) ( Int-like ) Data-Location of ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ;

theorem :: SCMRING4:11
for n being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for a being ( ( Int-like ) ( Int-like ) Data-Location of )
for loc being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b9 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = a : ( ( Int-like ) ( Int-like ) Data-Location of ) =0_goto loc : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) : ( ( ) ( non ins-loc-free V156(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) with_explicit_jumps IC-relocable V207(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) V209(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) , SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & loc : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) <> succ (IC (Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) set ) holds
( (Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = 0. R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( V51(b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) iff (Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) . a : ( ( Int-like ) ( Int-like ) Data-Location of ) : ( ( ) ( ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) = 0. R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( V51(b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) ) Element of the carrier of b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) : ( ( ) ( non empty non trivial non empty-membered ) set ) ) ) ;

begin

theorem :: SCMRING4:12
for k being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) )
for R being ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring)
for s1, s2 being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) )
for q being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function)
for p being ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) st p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) c= s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) & IncIC (p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ,k : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() V204() ) set ) c= s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) holds
for P1, P2 being ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) st q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) c= P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & Reloc (q : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) ,k : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) set ) c= P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) holds
for i being ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) holds
( (IC (Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) + k : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) = IC (Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) & IncAddr ((CurInstr (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) )) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,k : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) = CurInstr (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ) : ( ( ) ( with_explicit_jumps IC-relocable relocable ) Element of the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) & (Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) | (dom (DataPart p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() data-only V204() ) set ) ) : ( ( ) ( finite V127() ) set ) : ( ( Relation-like ) ( Relation-like dom (DataPart b6 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() data-only V204() ) set ) : ( ( ) ( finite V127() ) set ) -defined the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() V204() ) set ) = (Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) | (dom (DataPart p : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() data-only V204() ) set ) ) : ( ( ) ( finite V127() ) set ) : ( ( Relation-like ) ( Relation-like dom (DataPart b6 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty finite V127() b5 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite non halt-free ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like finite V127() non halt-free V204() ) Function) -autonomic V204() ) FinPartState of 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() data-only V204() ) set ) : ( ( ) ( finite V127() ) set ) -defined the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible finite V127() V204() ) set ) & DataPart (Comput (P1 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,(s1 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) +* (DataPart s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible data-only ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible data-only ) set ) = DataPart (Comput (P2 : ( ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) -defined the InstructionsF of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) -valued Function-like non empty total ) Instruction-Sequence of ( ( standard-ins V139() J/A-independent V142() ) ( Relation-like non empty standard-ins V139() J/A-independent V142() ) set ) ) ,s2 : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) State of ( ( ) ( non empty ) set ) ) ,i : ( ( ) ( V1() V3() epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) )) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible total ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible non empty total ) set ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible ) ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( Relation-like the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty non empty-yielding the carrier of (SCM b2 : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like non empty total ) set ) -compatible data-only ) set ) ) ;

registration
let R be ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) Ring) ;
cluster SCM R : ( ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) ( non empty non trivial V70() V95() V96() V97() V106() V113() V114() ) L11()) : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict V157(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) with_explicit_jumps IC-relocable V208(2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) relocable IC-recognized CurIns-recognized ) AMI-Struct over 2 : ( ( ) ( V1() V3() non empty epsilon-transitive epsilon-connected ordinal natural V31() finite V37() V103() V127() non with_non-empty_elements V170() ) Element of NAT : ( ( ) ( non empty non trivial epsilon-transitive epsilon-connected ordinal non finite V37() V38() V127() V128() non empty-membered ) Element of K24(REAL : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) : ( ( ) ( non empty non trivial non finite non empty-membered ) set ) ) ) ) -> strict relocable1 relocable2 ;
end;