:: SCMFSA_7 semantic presentation

begin

definition
let a be ( ( V62() ) ( V62() ) Int-Location) ;
let k be ( ( integer ) ( V11() V12() integer ext-real ) Integer) ;
func a := k -> ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) means :: SCMFSA_7:def 1
ex k1 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) & it : ( ( ) ( ) Element of k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) ) = (<%(a : ( ( ) ( ) set ) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ (k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) --> (AddTo (a : ( ( ) ( ) set ) ,(intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) : ( ( Function-like V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) ( T-Sequence-like Relation-like b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like constant finite total V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V70() ) Element of K6(K7(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ) if k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
otherwise ex k1 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & it : ( ( ) ( ) Element of k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) ) = (<%(a : ( ( ) ( ) set ) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ (k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) --> (SubFrom (a : ( ( ) ( ) set ) ,(intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) : ( ( Function-like V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) ( T-Sequence-like Relation-like b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like constant finite total V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V70() ) Element of K6(K7(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) );
end;

definition
let a be ( ( V62() ) ( V62() ) Int-Location) ;
let k be ( ( integer ) ( V11() V12() integer ext-real ) Integer) ;
func aSeq (a,k) -> ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) means :: SCMFSA_7:def 2
ex k1 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) & it : ( ( ) ( ) Element of k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) ) = <%(a : ( ( ) ( ) set ) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ (k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) --> (AddTo (a : ( ( ) ( ) set ) ,(intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) : ( ( Function-like V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) ( T-Sequence-like Relation-like b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like constant finite total V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V70() ) Element of K6(K7(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ) if k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) > 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
otherwise ex k1 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & it : ( ( ) ( ) Element of k : ( ( ) ( ) AMI-Struct over a : ( ( ) ( ) set ) ) ) = <%(a : ( ( ) ( ) set ) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ (k1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) --> (SubFrom (a : ( ( ) ( ) set ) ,(intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) : ( ( Function-like V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) ( T-Sequence-like Relation-like b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -defined NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like constant finite total V38(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V70() ) Element of K6(K7(b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) : ( ( ) ( Relation-like ) set ) ) : ( ( ) ( ) set ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) );
end;

theorem :: SCMFSA_7:1
for a being ( ( V62() ) ( V62() ) Int-Location)
for k being ( ( integer ) ( V11() V12() integer ext-real ) Integer) holds a : ( ( V62() ) ( V62() ) Int-Location) := k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) = (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ;

definition
let f be ( ( ) ( ) FinSeq-Location ) ;
let p be ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ;
func aSeq (f,p) -> ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) means :: SCMFSA_7:def 3
ex pp being ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite V70() Function-yielding V94() ) XFinSequence of ) st
( len pp : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite V70() Function-yielding V94() ) XFinSequence of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = len p : ( ( ) ( ) AMI-Struct over f : ( ( ) ( ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & ( for k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) < len pp : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite V70() Function-yielding V94() ) XFinSequence of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
ex i being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st
( i : ( ( integer ) ( V11() V12() integer ext-real ) Integer) = p : ( ( ) ( ) AMI-Struct over f : ( ( ) ( ) set ) ) . (k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) & pp : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite V70() Function-yielding V94() ) XFinSequence of ) . k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( Relation-like Function-like ) set ) = ((aSeq ((intloc 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ,(k : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ^ (aSeq ((intloc 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ,i : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ <%((f : ( ( ) ( ) set ) ,(intloc 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) := (intloc 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ) ) & it : ( ( ) ( ) Element of p : ( ( ) ( ) AMI-Struct over f : ( ( ) ( ) set ) ) ) = FlattenSeq pp : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) -valued Function-like finite V70() Function-yielding V94() ) XFinSequence of ) : ( ( ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like finite V70() ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ^omega : ( ( ) ( non empty functional ) set ) ) );
end;

definition
let f be ( ( ) ( ) FinSeq-Location ) ;
let p be ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ;
func f := p -> ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) equals :: SCMFSA_7:def 4
(((aSeq ((intloc 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ,(len p : ( ( ) ( ) AMI-Struct over f : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ^ <%(f : ( ( ) ( ) set ) :=<0,...,0> (intloc 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ (aSeq (f : ( ( ) ( ) set ) ,p : ( ( ) ( ) AMI-Struct over f : ( ( ) ( ) set ) ) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ;
end;

theorem :: SCMFSA_7:2
for a being ( ( V62() ) ( V62() ) Int-Location) holds a : ( ( V62() ) ( V62() ) Int-Location) := 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) = <%(a : ( ( V62() ) ( V62() ) Int-Location) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V76( the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V89(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ;

theorem :: SCMFSA_7:3
for a being ( ( V62() ) ( V62() ) Int-Location) holds a : ( ( V62() ) ( V62() ) Int-Location) := 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) = (<%(a : ( ( V62() ) ( V62() ) Int-Location) := (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V76( the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V89(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ^ <%(SubFrom (a : ( ( V62() ) ( V62() ) Int-Location) ,(intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) )) : ( ( ) ( V76( the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) V89(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) , SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ^ <%(halt SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) %> : ( ( Relation-like Function-like ) ( non empty T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V33(1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) V70() ) set ) : ( ( T-Sequence-like Relation-like Function-like ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) set ) ;

theorem :: SCMFSA_7:4
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
for c0 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
for s being ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) st s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
for a being ( ( V62() ) ( V62() ) Int-Location)
for k being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st a : ( ( V62() ) ( V62() ) Int-Location) <> intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) & ( for c being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st c : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) in dom (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of K6(NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) ) holds
(aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) . c : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) . (c0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + c : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) ) ) holds
( ( for i being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) <= len (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = c0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & ( for b being ( ( V62() ) ( V62() ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> a : ( ( V62() ) ( V62() ) Int-Location) holds
(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total b2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(len (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( V62() ) ( V62() ) Int-Location) : ( ( ) ( V11() V12() integer ext-real ) set ) = k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) ;

theorem :: SCMFSA_7:5
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
for s being ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) st s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
for a being ( ( V62() ) ( V62() ) Int-Location)
for k being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & a : ( ( V62() ) ( V62() ) Int-Location) <> intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) holds
( ( for i being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) <= len (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & ( for b being ( ( V62() ) ( V62() ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> a : ( ( V62() ) ( V62() ) Int-Location) holds
(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) ,(len (aSeq (a : ( ( V62() ) ( V62() ) Int-Location) ,k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) )) : ( ( T-Sequence-like Relation-like the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( T-Sequence-like Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite V70() ) XFinSequence of ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V11() V12() integer ext-real non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( V62() ) ( V62() ) Int-Location) : ( ( ) ( V11() V12() integer ext-real ) set ) = k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) ) ;

theorem :: SCMFSA_7:6
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
for s being ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) st s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
for a being ( ( V62() ) ( V62() ) Int-Location)
for k being ( ( integer ) ( V11() V12() integer ext-real ) Integer) st a : ( ( V62() ) ( V62() ) Int-Location) := k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & a : ( ( V62() ) ( V62() ) Int-Location) <> intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) holds
( P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) halts_on s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) & (Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( V62() ) ( V62() ) Int-Location) : ( ( ) ( V11() V12() integer ext-real ) set ) = k : ( ( integer ) ( V11() V12() integer ext-real ) Integer) & ( for b being ( ( V62() ) ( V62() ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> a : ( ( V62() ) ( V62() ) Int-Location) holds
(Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_7:7
for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) )
for s being ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) st s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . (intloc 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() integer ext-real ) set ) = 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
for f being ( ( ) ( ) FinSeq-Location )
for p being ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) st f : ( ( ) ( ) FinSeq-Location ) := p : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like finite ) Function) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) halts_on s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) & (Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = p : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) & ( for b being ( ( V62() ) ( V62() ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> intloc 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) & b : ( ( ) ( ) FinSeq-Location ) <> intloc 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V62() ) ( V62() ) Element of the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) ) holds
(Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for g being ( ( ) ( ) FinSeq-Location ) st g : ( ( ) ( ) FinSeq-Location ) <> f : ( ( ) ( ) FinSeq-Location ) holds
(Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V71() V72() V73() V75() ) ( non empty Relation-like V71() V72() V73() V75() ) set ) -valued Function-like total ) ManySortedSet of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) )) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total ) set ) . g : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like K268(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) ( Relation-like non-empty the U1 of SCM+FSA : ( ( strict ) ( V42() V82(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V90(3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V11() V12() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() V12() Relation-like non-empty empty-yielding NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined Function-like one-to-one constant functional finite FinSequence-like FinSubsequence-like FinSequence-membered integer V70() Function-yielding V94() ext-real non positive non negative V137() ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( ) set ) ) . g : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K6(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like finite FinSequence-like FinSubsequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;