SCMP_GCD

:: SCMP_GCD semantic presentation

begin

definition

let k be ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Nat) ;

func intpos k -> ( ( Int-like ) ( Int-like ) Int_position) equals :: SCMP_GCD:def 1
dl. k : ( ( ) ( ) set ) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;

end;

theorem :: SCMP_GCD:1

for n1, n2 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds DataLoc (n1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,n2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) = intpos (n1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + n2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) ;

theorem :: SCMP_GCD:2

for s being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for m1, m2 being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st IC s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = m1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + m2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
ICplusConst (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,(- m2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V24() ) ( V24() V25() integer ext-real ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = m1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ;

definition

func GBP -> ( ( Int-like ) ( Int-like ) Int_position) equals :: SCMP_GCD:def 2
intpos 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) ;

func SBP -> ( ( Int-like ) ( Int-like ) Int_position) equals :: SCMP_GCD:def 3
intpos 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) ;

end;

theorem :: SCMP_GCD:3

GBP : ( ( Int-like ) ( Int-like ) Int_position) <> SBP : ( ( Int-like ) ( Int-like ) Int_position) ;

theorem :: SCMP_GCD:4

for i being ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for I being ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds card (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) = (card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMP_GCD:5

for i, j being ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds card (i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' j : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) = 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMP_GCD:6

for i being ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for I being ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
( (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) . (card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) : ( ( ) ( ) set ) = i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) in dom (I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) set ) ) ;

theorem :: SCMP_GCD:7

for i being ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for I, J being ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds ((I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' J : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) . (card I : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) : ( ( ) ( ) set ) = i : ( ( ) ( ) Instruction of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ;

begin

definition

func GCD-Algorithm -> ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) equals :: SCMP_GCD:def 4
((((((((((((((GBP : ( ( Int-like ) ( Int-like ) Int_position) := 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ';' (SBP : ( ( Int-like ) ( Int-like ) Int_position) := 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (saveIC (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,RetIC : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (goto 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (halt SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' ((SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) <=0_goto 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' ((SBP : ( ( Int-like ) ( Int-like ) Int_position) ,6 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (Divide (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' ((SBP : ( ( Int-like ) ( Int-like ) Int_position) ,7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' ((SBP : ( ( Int-like ) ( Int-like ) Int_position) ,(4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + RetSP : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (GBP : ( ( Int-like ) ( Int-like ) Int_position) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (AddTo (GBP : ( ( Int-like ) ( Int-like ) Int_position) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (saveIC (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,RetIC : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (goto (- 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V24() ) ( V24() V25() integer ext-real ) set ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' ((SBP : ( ( Int-like ) ( Int-like ) Int_position) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,6 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ';' (return SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) set ) ;

end;

begin

theorem :: SCMP_GCD:8

card GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) set ) ) = 15 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMP_GCD:9

for n being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
( n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) < 15 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) iff n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) in dom GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) set ) ) ;

theorem :: SCMP_GCD:10

( GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = GBP : ( ( Int-like ) ( Int-like ) Int_position) := 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = SBP : ( ( Int-like ) ( Int-like ) Int_position) := 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = saveIC (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,RetIC : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = goto 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = halt SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) <=0_goto 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 6 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,6 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = Divide (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 8 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,(4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + RetSP : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (GBP : ( ( Int-like ) ( Int-like ) Int_position) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 10 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = AddTo (GBP : ( ( Int-like ) ( Int-like ) Int_position) ,1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 11 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = saveIC (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,RetIC : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 12 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = goto (- 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V24() ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 13 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) := (SBP : ( ( Int-like ) ( Int-like ) Int_position) ,6 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) . 14 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) set ) = return SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ) ;

theorem :: SCMP_GCD:11

for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) st GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for s being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) holds
( IC (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . GBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = 7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos (7 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) + RetIC : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (intpos 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) ,4 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos 10 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (intpos 10 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) ) ;

theorem :: SCMP_GCD:12

for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for s being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & IC s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) > 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . GBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) >= s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) holds
ex n being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( CurInstr (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) = return SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) gcd (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) set ) & ( for j being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) < j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) <= (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) holds
s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (intpos j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) ) ) ;

theorem :: SCMP_GCD:13

for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for s being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & IC s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) = 5 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) > 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . GBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
ex n being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st
( CurInstr (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,(Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) ) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) = return SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( ) Element of the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) & (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) gcd (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (DataLoc ((s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ,3 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) set ) & ( for j being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) st 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) < j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) <= (s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . SBP : ( ( Int-like ) ( Int-like ) Int_position) ) : ( ( ) ( V24() V25() integer ext-real ) set ) + 1 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V24() V25() integer ext-real ) set ) holds
s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (intpos j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = (Comput (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ,n : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos j : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) ) ) ;

begin

theorem :: SCMP_GCD:14

for P being ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) )
for s being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) st GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) c= P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) holds
for x, y being ( ( integer ) ( V24() V25() integer ext-real ) Integer) st s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (intpos 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = x : ( ( integer ) ( V24() V25() integer ext-real ) Integer) & s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) . (intpos 10 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) & x : ( ( integer ) ( V24() V25() integer ext-real ) Integer) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) holds
(Result (P : ( ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) ( Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like total ) Instruction-Sequence of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) ,s : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (intpos 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) : ( ( ) ( V24() V25() integer ext-real ) set ) = x : ( ( integer ) ( V24() V25() integer ext-real ) Integer) gcd y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) set ) ;

begin

theorem :: SCMP_GCD:15

for p being ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) )
for x, y being ( ( integer ) ( V24() V25() integer ext-real ) Integer) st y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) >= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) & x : ( ( integer ) ( V24() V25() integer ext-real ) Integer) >= y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) & p : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) = ((intpos 9 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) ,(intpos 10 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Int-like ) ( Int-like ) Int_position) ) --> (x : ( ( integer ) ( V24() V25() integer ext-real ) Integer) ,y : ( ( integer ) ( V24() V25() integer ext-real ) Integer) ) : ( ( ) ( ) set ) holds
Initialize p : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() ) FinPartState of 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like K335(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ,SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) : ( ( Relation-like the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible V32() 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) -started ) set ) is GCD-Algorithm : ( ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like V32() V71() ) ( non empty Relation-like NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) -defined the InstructionsF of SCMPDS : ( ( strict ) ( non empty V83(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) IC-Ins-separated strict V91(2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) ) AMI-Struct over 2 : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal natural V24() V25() integer V64() ext-real positive ) Element of NAT : ( ( ) ( non empty epsilon-transitive epsilon-connected ordinal ) Element of K32(REAL : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) -valued Function-like T-Sequence-like V32() V71() ) Program of ( ( V72() V73() V74() V76() ) ( non empty Relation-like V72() V73() V74() V76() ) set ) ) -autonomic ;