:: SCMFSA_2 semantic presentation

begin

definition
func SCM+FSA -> ( ( strict ) ( strict ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) equals :: SCMFSA_2:def 1
 AMI-Struct(# SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,(In (NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ,SCM+FSA-Memory : ( ( ) ( non empty ) set ) )) : ( ( ) ( ) Element of SCM+FSA-Memory : ( ( ) ( non empty ) set ) ) ,SCM+FSA-Instr : ( ( non empty ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ,SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) ,SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ,SCM+FSA-Exec : ( ( Function-like V38( SCM+FSA-Instr : ( ( non empty ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ,K165((product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ,(product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ) : ( ( ) ( ) set ) ) ) ( Relation-like SCM+FSA-Instr : ( ( non empty ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) -defined K165((product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ,(product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ) : ( ( ) ( ) set ) -valued Function-like V38( SCM+FSA-Instr : ( ( non empty ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ,K165((product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ,(product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ) : ( ( ) ( ) set ) ) ) Element of bool [:SCM+FSA-Instr : ( ( non empty ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ,K165((product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ,(product (SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) ) : ( ( ) ( non empty functional with_common_domain product-like ) set ) ) : ( ( ) ( ) set ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) #) : ( ( strict ) ( strict ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ;
end;

registration
cluster SCM+FSA : ( ( strict ) ( strict ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) -> non empty with_non-empty_values strict ;
end;

registration
cluster SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) -> strict with_non_trivial_Instructions ;
end;

theorem :: SCMFSA_2:1
IC : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) = NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ;

begin

notation
synonym Int-Locations for SCM+FSA-Data-Loc ;
end;

definition
:: original: Int-Locations
redefine func Int-Locations -> ( ( ) ( ) Subset of ) ;
canceled;
func FinSeq-Locations -> ( ( ) ( ) Subset of ) equals :: SCMFSA_2:def 3
 SCM+FSA-Data*-Loc : ( ( ) ( non empty ) Element of bool SCM+FSA-Memory : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;
end;

registration
cluster Int-like for ( ( ) ( ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;
end;

definition
mode Int-Location is ( ( Int-like ) ( Int-like ) Object of ( ( ) ( non empty ) set ) ) ;
canceled;
mode FinSeq-Location -> ( ( ) ( ) Object of ( ( ) ( non empty ) set ) ) means :: SCMFSA_2:def 5
it : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) in SCM+FSA-Data*-Loc : ( ( ) ( non empty ) Element of bool SCM+FSA-Memory : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;
end;

theorem :: SCMFSA_2:2
canceled;

theorem :: SCMFSA_2:3
canceled;

theorem :: SCMFSA_2:4
canceled;

theorem :: SCMFSA_2:5
canceled;

theorem :: SCMFSA_2:6
canceled;

definition
let k be ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) ;
func intloc k -> ( ( Int-like ) ( Int-like ) Int-Location) equals :: SCMFSA_2:def 6
 dl. k : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;
func fsloc k -> ( ( ) ( ) FinSeq-Location ) equals :: SCMFSA_2:def 7
 - (k : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) + 1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( V24() ) ( V24() V25() integer ext-real non positive ) set ) ;
end;

theorem :: SCMFSA_2:7
for k1, k2 being ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) st k1 : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) <> k2 : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) holds
fsloc k1 : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( ) ( ) FinSeq-Location ) <> fsloc k2 : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( ) ( ) FinSeq-Location ) ;

theorem :: SCMFSA_2:8
for dl being ( ( Int-like ) ( Int-like ) Int-Location) ex i being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st dl : ( ( Int-like ) ( Int-like ) Int-Location) = intloc i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( Int-like ) ( Int-like ) Int-Location) ;

theorem :: SCMFSA_2:9
for fl being ( ( ) ( ) FinSeq-Location ) ex i being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st fl : ( ( ) ( ) FinSeq-Location ) = fsloc i : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) FinSeq-Location ) ;

registration
cluster FinSeq-Locations : ( ( ) ( ) Subset of ) -> infinite ;
end;

theorem :: SCMFSA_2:10
for I being ( ( Int-like ) ( Int-like ) Int-Location) holds I : ( ( Int-like ) ( Int-like ) Int-Location) is ( ( Int-like ) ( Int-like ) Data-Location) ;

theorem :: SCMFSA_2:11
for l being ( ( Int-like ) ( Int-like ) Int-Location) holds Values l : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( non empty ) set ) = INT : ( ( ) ( ) set ) ;

theorem :: SCMFSA_2:12
for l being ( ( ) ( ) FinSeq-Location ) holds Values l : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( non empty ) set ) = INT : ( ( ) ( ) set ) * : ( ( ) ( ) FinSequenceSet of INT : ( ( ) ( ) set ) ) ;

begin

theorem :: SCMFSA_2:13
canceled;

theorem :: SCMFSA_2:14
canceled;

theorem :: SCMFSA_2:15
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) <= 8 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:16
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) holds InsCode I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) <= 12 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:17
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) holds I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

definition
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
func a := b -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 8
 ex A, B being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & b : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = B : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) := B : ( ( Int-like ) ( Int-like ) Data-Location) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
func AddTo (a,b) -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 9
 ex A, B being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & b : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = B : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = AddTo (A : ( ( Int-like ) ( Int-like ) Data-Location) ,B : ( ( Int-like ) ( Int-like ) Data-Location) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
func SubFrom (a,b) -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 10
 ex A, B being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & b : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = B : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = SubFrom (A : ( ( Int-like ) ( Int-like ) Data-Location) ,B : ( ( Int-like ) ( Int-like ) Data-Location) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
func MultBy (a,b) -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 11
 ex A, B being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & b : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = B : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = MultBy (A : ( ( Int-like ) ( Int-like ) Data-Location) ,B : ( ( Int-like ) ( Int-like ) Data-Location) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
func Divide (a,b) -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 12
 ex A, B being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & b : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over a : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = B : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = Divide (A : ( ( Int-like ) ( Int-like ) Data-Location) ,B : ( ( Int-like ) ( Int-like ) Data-Location) ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
end;

definition
let la be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
func goto la -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) equals :: SCMFSA_2:def 13
 SCM-goto la : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
func a =0_goto la -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 14
 ex A being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over la : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) =0_goto la : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
func a >0_goto la -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) means :: SCMFSA_2:def 15
 ex A being ( ( Int-like ) ( Int-like ) Data-Location) st
( a : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over la : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) = A : ( ( Int-like ) ( Int-like ) Data-Location) & it : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) = A : ( ( Int-like ) ( Int-like ) Data-Location) >0_goto la : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) : ( ( ) ( ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) );
end;

definition
let c, i be ( ( Int-like ) ( Int-like ) Int-Location) ;
let a be ( ( ) ( ) FinSeq-Location ) ;
func c := (a,i) -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) equals :: SCMFSA_2:def 16
[9 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,<*c : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ,a : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) ,i : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over c : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) *> : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) ;
func (a,i) := c -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) equals :: SCMFSA_2:def 17
[10 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,<*c : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ,a : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) set ) ,i : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over c : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) *> : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) ;
end;

definition
let i be ( ( Int-like ) ( Int-like ) Int-Location) ;
let a be ( ( ) ( ) FinSeq-Location ) ;
func i :=len a -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) equals :: SCMFSA_2:def 18
[11 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,<*i : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ,a : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over i : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) *> : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) ;
func a :=<0,...,0> i -> ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) equals :: SCMFSA_2:def 19
[12 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,<*i : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ,a : ( ( non empty with_non-empty_values IC-Ins-separated ) ( non empty with_non-empty_values IC-Ins-separated ) Mem-Struct over i : ( ( standard-ins V75() ) ( Relation-like non empty standard-ins V75() ) set ) ) *> : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) ;
end;

theorem :: SCMFSA_2:18
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:19
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:20
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:21
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 4 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:22
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 5 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:23
for lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds InsCode (goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 6 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:24
for lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 7 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:25
for lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 8 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:26
for fa being ( ( ) ( ) FinSeq-Location )
for c, a being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (c : ( ( Int-like ) ( Int-like ) Int-Location) := (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 9 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:27
for fa being ( ( ) ( ) FinSeq-Location )
for a, c being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode ((fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 10 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:28
for fa being ( ( ) ( ) FinSeq-Location )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (a : ( ( Int-like ) ( Int-like ) Int-Location) :=len fa : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 11 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:29
for fa being ( ( ) ( ) FinSeq-Location )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds InsCode (fa : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 12 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:30
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex da, db being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = da : ( ( Int-like ) ( Int-like ) Int-Location) := db : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:31
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex da, db being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = AddTo (da : ( ( Int-like ) ( Int-like ) Int-Location) ,db : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:32
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex da, db being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = SubFrom (da : ( ( Int-like ) ( Int-like ) Int-Location) ,db : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:33
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 4 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex da, db being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = MultBy (da : ( ( Int-like ) ( Int-like ) Int-Location) ,db : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:34
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 5 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex da, db being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = Divide (da : ( ( Int-like ) ( Int-like ) Int-Location) ,db : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:35
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 6 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:36
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 7 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ex da being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = da : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:37
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 8 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ex da being ( ( Int-like ) ( Int-like ) Int-Location) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = da : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:38
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 9 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = b : ( ( Int-like ) ( Int-like ) Int-Location) := (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:39
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 10 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := b : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:40
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 11 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex a being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = a : ( ( Int-like ) ( Int-like ) Int-Location) :=len fa : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:41
for ins being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 12 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
ex a being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st ins : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = fa : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

begin

theorem :: SCMFSA_2:42
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for d being ( ( Int-like ) ( Int-like ) Int-Location) holds d : ( ( Int-like ) ( Int-like ) Int-Location) in dom s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:43
for f being ( ( ) ( ) FinSeq-Location )
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds f : ( ( ) ( ) FinSeq-Location ) in dom s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:44
for f being ( ( ) ( ) FinSeq-Location )
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds not f : ( ( ) ( ) FinSeq-Location ) in dom S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:45
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds Int-Locations : ( ( ) ( non empty ) Subset of ) c= dom s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:46
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) c= dom s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:47
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds dom (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | Int-Locations : ( ( ) ( non empty ) Subset of ) ) : ( ( Relation-like ) ( Relation-like Int-Locations : ( ( ) ( non empty ) Subset of ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) : ( ( ) ( ) Element of bool Int-Locations : ( ( ) ( non empty ) Subset of ) : ( ( ) ( ) set ) ) = Int-Locations : ( ( ) ( non empty ) Subset of ) ;

theorem :: SCMFSA_2:48
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds dom (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) ) : ( ( Relation-like ) ( Relation-like FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) : ( ( ) ( ) Element of bool FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) : ( ( ) ( ) set ) ) = FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) ;

theorem :: SCMFSA_2:49
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for i being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) holds s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | SCM-Memory : ( ( ) ( ) set ) : ( ( Relation-like ) ( Relation-like SCM-Memory : ( ( ) ( ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) is ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;

theorem :: SCMFSA_2:50
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s9 being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) +* s9 : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) is ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;

theorem :: SCMFSA_2:51
for i being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) )
for ii being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) )
for s being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for ss being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = ii : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) & s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = ss : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | SCM-Memory : ( ( ) ( ) set ) : ( ( Relation-like ) ( Relation-like SCM-Memory : ( ( ) ( ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) holds
Exec (ii : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,ss : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) = ss : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) +* (Exec (i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) ;

registration
let s be ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;
let d be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . d : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) -> integer ;
end;

definition
let s be ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;
let d be ( ( ) ( ) FinSeq-Location ) ;
:: original: .
redefine func s . d -> ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ;
end;

theorem :: SCMFSA_2:52
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | SCM-Memory : ( ( ) ( ) set ) : ( ( Relation-like ) ( Relation-like SCM-Memory : ( ( ) ( ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) holds
s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) +* S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) ;

theorem :: SCMFSA_2:53
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s1, s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) +* S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) holds
s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . (IC ) : ( ( ) ( V49( SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ;

theorem :: SCMFSA_2:54
for A being ( ( Int-like ) ( Int-like ) Data-Location)
for a being ( ( Int-like ) ( Int-like ) Int-Location)
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s1, s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) +* S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) & A : ( ( Int-like ) ( Int-like ) Data-Location) = a : ( ( Int-like ) ( Int-like ) Int-Location) holds
S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . A : ( ( Int-like ) ( Int-like ) Data-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) ;

theorem :: SCMFSA_2:55
for A being ( ( Int-like ) ( Int-like ) Data-Location)
for a being ( ( Int-like ) ( Int-like ) Int-Location)
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | SCM-Memory : ( ( ) ( ) set ) : ( ( Relation-like ) ( Relation-like SCM-Memory : ( ( ) ( ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) & A : ( ( Int-like ) ( Int-like ) Data-Location) = a : ( ( Int-like ) ( Int-like ) Int-Location) holds
S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . A : ( ( Int-like ) ( Int-like ) Data-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) ;

registration
cluster SCM+FSA : ( ( strict ) ( non empty with_non-empty_values strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) -> IC-Ins-separated strict ;
end;

theorem :: SCMFSA_2:56
for dl being ( ( Int-like ) ( Int-like ) Int-Location) holds dl : ( ( Int-like ) ( Int-like ) Int-Location) <> IC : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;

theorem :: SCMFSA_2:57
for dl being ( ( ) ( ) FinSeq-Location ) holds dl : ( ( ) ( ) FinSeq-Location ) <> IC : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ;

theorem :: SCMFSA_2:58
for il being ( ( Int-like ) ( Int-like ) Int-Location)
for dl being ( ( ) ( ) FinSeq-Location ) holds il : ( ( Int-like ) ( Int-like ) Int-Location) <> dl : ( ( ) ( ) FinSeq-Location ) ;

theorem :: SCMFSA_2:59
for il being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for dl being ( ( Int-like ) ( Int-like ) Int-Location) holds il : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) <> dl : ( ( Int-like ) ( Int-like ) Int-Location) ;

theorem :: SCMFSA_2:60
for il being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for dl being ( ( ) ( ) FinSeq-Location ) holds il : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) <> dl : ( ( ) ( ) FinSeq-Location ) ;

theorem :: SCMFSA_2:61
for s1, s2 being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st IC s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) = IC s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & ( for a being ( ( Int-like ) ( Int-like ) Int-Location) holds s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) holds
s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;

theorem :: SCMFSA_2:62
for S being ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) | SCM-Memory : ( ( ) ( ) set ) : ( ( Relation-like ) ( Relation-like SCM-Memory : ( ( ) ( ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) set ) holds
IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) = IC S : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

begin

theorem :: SCMFSA_2:63
for a, b being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:64
for a, b being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) + (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:65
for a, b being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) - (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:66
for a, b being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) * (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:67
for a, b being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & ( a : ( ( Int-like ) ( Int-like ) Int-Location) <> b : ( ( Int-like ) ( Int-like ) Int-Location) implies (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) div (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( integer ) ( V24() V25() integer ext-real ) set ) ) & (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) mod (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( integer ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) & c : ( ( ) ( ) FinSeq-Location ) <> b : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:68
for a being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) mod (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( integer ) ( V24() V25() integer ext-real ) set ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) st c : ( ( ) ( ) FinSeq-Location ) <> a : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:69
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) holds (Exec ((goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:70
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( ( s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) implies (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) & ( s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) <> 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) implies (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) holds (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:71
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( ( s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) > 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) implies (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) & ( s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) <= 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) implies (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) ) & ( for c being ( ( Int-like ) ( Int-like ) Int-Location) holds (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:72
for g being ( ( ) ( ) FinSeq-Location )
for c, a being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) := (g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & ex k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st
( k : ( ( ) ( ) FinSeq-Location ) = abs (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) := (g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) /. k : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( V24() V25() integer ext-real ) Element of INT : ( ( ) ( ) set ) ) ) & ( for b being ( ( Int-like ) ( Int-like ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> c : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) := (g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) := (g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) )) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:73
for g being ( ( ) ( ) FinSeq-Location )
for a, c being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec (((g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & ex k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st
( k : ( ( ) ( ) FinSeq-Location ) = abs (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & (Exec (((g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . g : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) +* (k : ( ( ) ( ) FinSeq-Location ) ,(s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) ) : ( ( Relation-like Function-like ) ( Relation-like Function-like ) set ) ) & ( for b being ( ( Int-like ) ( Int-like ) Int-Location) holds (Exec (((g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) st f : ( ( ) ( ) FinSeq-Location ) <> g : ( ( ) ( ) FinSeq-Location ) holds
(Exec (((g : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:74
for g being ( ( ) ( ) FinSeq-Location )
for c being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) :=len g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) :=len g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . c : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( V24() V25() integer ext-real ) set ) = len (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & ( for b being ( ( Int-like ) ( Int-like ) Int-Location) st b : ( ( ) ( ) FinSeq-Location ) <> c : ( ( Int-like ) ( Int-like ) Int-Location) holds
(Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) :=len g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds (Exec ((c : ( ( Int-like ) ( Int-like ) Int-Location) :=len g : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

theorem :: SCMFSA_2:75
for g being ( ( ) ( ) FinSeq-Location )
for c being ( ( Int-like ) ( Int-like ) Int-Location)
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
( (Exec ((g : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) & ex k being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st
( k : ( ( ) ( ) FinSeq-Location ) = abs (s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & (Exec ((g : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . g : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = k : ( ( ) ( ) FinSeq-Location ) |-> 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -valued Function-like FinSequence-like ) Element of b4 : ( ( ) ( ) FinSeq-Location ) -tuples_on NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) : ( ( ) ( ) FinSequenceSet of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) & ( for b being ( ( Int-like ) ( Int-like ) Int-Location) holds (Exec ((g : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) st f : ( ( ) ( ) FinSeq-Location ) <> g : ( ( ) ( ) FinSeq-Location ) holds
(Exec ((g : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) ) ;

begin

theorem :: SCMFSA_2:76
for s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) )
for S being ( ( ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) -compatible ) SCM+FSA-State) st S : ( ( ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) -compatible ) SCM+FSA-State) = s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) holds
IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) = IC S : ( ( ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like SCM+FSA-OK : ( ( Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ( Relation-like SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -valued Function-like V38( SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) Element of bool [:SCM+FSA-Memory : ( ( ) ( non empty ) set ) ,3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) :] : ( ( ) ( Relation-like ) set ) : ( ( ) ( ) set ) ) * SCM*-VAL : ( ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) ( Relation-like 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -defined Function-like total ) set ) : ( ( Relation-like ) ( Relation-like non-empty SCM+FSA-Memory : ( ( ) ( non empty ) set ) -defined Function-like ) set ) -compatible ) SCM+FSA-State) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;

theorem :: SCMFSA_2:77
for i being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) )
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) & i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:78
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st ex s being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st (Exec (I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ,s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) set ) . (IC ) : ( ( ) ( V49( SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ) ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) = succ (IC s : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real non negative ) Element of omega : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) set ) ) holds
not I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster AddTo (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster SubFrom (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster MultBy (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster Divide (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
end;

theorem :: SCMFSA_2:79
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds not a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:80
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds not AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:81
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds not SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:82
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds not MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:83
for a, b being ( ( Int-like ) ( Int-like ) Int-Location) holds not Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

registration
let la be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
cluster goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
end;

theorem :: SCMFSA_2:84
for la being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds not goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

registration
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
let la be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) =0_goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) >0_goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
end;

theorem :: SCMFSA_2:85
for la being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds not a : ( ( Int-like ) ( Int-like ) Int-Location) =0_goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:86
for la being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds not a : ( ( Int-like ) ( Int-like ) Int-Location) >0_goto la : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

registration
let c be ( ( Int-like ) ( Int-like ) Int-Location) ;
let f be ( ( ) ( ) FinSeq-Location ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := (f : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster (f : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) := c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
end;

theorem :: SCMFSA_2:87
for f being ( ( ) ( ) FinSeq-Location )
for c, a being ( ( Int-like ) ( Int-like ) Int-Location) holds not c : ( ( Int-like ) ( Int-like ) Int-Location) := (f : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:88
for f being ( ( ) ( ) FinSeq-Location )
for a, c being ( ( Int-like ) ( Int-like ) Int-Location) holds not (f : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := c : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

registration
let c be ( ( Int-like ) ( Int-like ) Int-Location) ;
let f be ( ( ) ( ) FinSeq-Location ) ;
cluster c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) :=len f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
cluster f : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> non halting ;
end;

theorem :: SCMFSA_2:89
for f being ( ( ) ( ) FinSeq-Location )
for c being ( ( Int-like ) ( Int-like ) Int-Location) holds not c : ( ( Int-like ) ( Int-like ) Int-Location) :=len f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:90
for f being ( ( ) ( ) FinSeq-Location )
for c being ( ( Int-like ) ( Int-like ) Int-Location) holds not f : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> c : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:91
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = [0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,{} : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:92
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = [0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,{} : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) ;

theorem :: SCMFSA_2:93
for I being ( ( ) ( ) set ) holds
( I : ( ( ) ( ) set ) is ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) iff ( I : ( ( ) ( ) set ) = [0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,{} : ( ( ) ( ) set ) ,{} : ( ( ) ( ) set ) ] : ( ( ) ( V13() V14() ) set ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = a : ( ( Int-like ) ( Int-like ) Int-Location) := b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = AddTo (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = SubFrom (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = MultBy (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = Divide (a : ( ( Int-like ) ( Int-like ) Int-Location) ,b : ( ( ) ( ) FinSeq-Location ) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex la being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) st I : ( ( ) ( ) set ) = goto la : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ex da being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = da : ( ( ) ( ) FinSeq-Location ) =0_goto lb : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex lb being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ex da being ( ( Int-like ) ( Int-like ) Int-Location) st I : ( ( ) ( ) set ) = da : ( ( ) ( ) FinSeq-Location ) >0_goto lb : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex b, a being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st I : ( ( ) ( ) set ) = a : ( ( ) ( ) FinSeq-Location ) := (fa : ( ( ) ( ) FinSeq-Location ) ,b : ( ( Int-like ) ( Int-like ) Int-Location) ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a, b being ( ( Int-like ) ( Int-like ) Int-Location) ex fa being ( ( ) ( ) FinSeq-Location ) st I : ( ( ) ( ) set ) = (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Int-Location) ) := b : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a being ( ( Int-like ) ( Int-like ) Int-Location) ex f being ( ( ) ( ) FinSeq-Location ) st I : ( ( ) ( ) set ) = a : ( ( Int-like ) ( Int-like ) Int-Location) :=len f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) or ex a being ( ( Int-like ) ( Int-like ) Int-Location) ex f being ( ( ) ( ) FinSeq-Location ) st I : ( ( ) ( ) set ) = f : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> a : ( ( Int-like ) ( Int-like ) Int-Location) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ) ) ;

registration
cluster SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) -> strict halting ;
end;

theorem :: SCMFSA_2:94
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( halting ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:95
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st InsCode I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of InsCodes the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) : ( ( ) ( non empty ) set ) ) = 0 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) holds
I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( halting ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:96
halt SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( halting ) Element of the InstructionsF of SCM : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting ) AMI-Struct over 2 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = halt SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( halting ) Element of the InstructionsF of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) ;

theorem :: SCMFSA_2:97
canceled;

theorem :: SCMFSA_2:98
for i being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) )
for I being ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) st i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) = I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) & not i : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting holds
not I : ( ( ) ( ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) is halting ;

theorem :: SCMFSA_2:99
for i, j being ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) holds fsloc i : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( ) ( ) FinSeq-Location ) <> intloc j : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( Int-like ) ( Int-like ) Int-Location) ;

theorem :: SCMFSA_2:100
Data-Locations : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) = Int-Locations : ( ( ) ( non empty ) Subset of ) \/ FinSeq-Locations : ( ( ) ( non empty non trivial infinite V64() ) Subset of ) : ( ( ) ( ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:101
for i, j being ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) st i : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) <> j : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) holds
intloc i : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( Int-like ) ( Int-like ) Int-Location) <> intloc j : ( ( natural ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Nat) : ( ( Int-like ) ( Int-like ) Int-Location) ;

theorem :: SCMFSA_2:102
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for a being ( ( Int-like ) ( Int-like ) Int-Location) holds not a : ( ( Int-like ) ( Int-like ) Int-Location) in dom (Start-At (l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined non empty Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite countable b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -started ) set ) : ( ( ) ( non empty finite countable ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:103
for l being ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) )
for f being ( ( ) ( ) FinSeq-Location ) holds not f : ( ( ) ( ) FinSeq-Location ) in dom (Start-At (l : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ,SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) )) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined non empty Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible finite countable b1 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) -started ) set ) : ( ( ) ( non empty finite countable ) Element of bool the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( ) set ) ) ;

theorem :: SCMFSA_2:104
for s1, s2 being ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) st IC s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) = IC s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool 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 non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) & ( for a being ( ( Int-like ) ( Int-like ) Int-Location) holds s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . a : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( ) set ) ) & ( for f being ( ( ) ( ) FinSeq-Location ) holds s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) . f : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ) holds
s1 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) = s2 : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible total ) State of ( ( ) ( non empty ) set ) ) ;

registration
let f be ( ( ) ( ) FinSeq-Location ) ;
let w be ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) ;
cluster f : ( ( ) ( ) FinSeq-Location ) .--> w : ( ( ) ( Relation-like NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) -defined INT : ( ( ) ( ) set ) -valued Function-like FinSequence-like ) FinSequence of INT : ( ( ) ( ) set ) ) : ( ( ) ( Relation-like {f : ( ( ) ( ) FinSeq-Location ) } : ( ( ) ( finite countable ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined {f : ( ( ) ( ) FinSeq-Location ) } : ( ( ) ( finite countable ) set ) -defined Function-like one-to-one finite countable Function-yielding V94() ) set ) -> Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only for ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) PartState of 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ;
end;

registration
let x be ( ( Int-like ) ( Int-like ) Int-Location) ;
let i be ( ( integer ) ( V24() V25() integer ext-real ) Integer) ;
cluster x : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) .--> i : ( ( integer ) ( V24() V25() integer ext-real ) set ) : ( ( ) ( Relation-like {x : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( finite countable ) set ) -defined the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined {x : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) } : ( ( ) ( finite countable ) set ) -defined Function-like one-to-one finite countable ) set ) -> Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible data-only for ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like the_Values_of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( Relation-like the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) ( Relation-like non-empty the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) -defined Function-like total ) set ) -compatible ) PartState of 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) ;
end;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster AddTo (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster SubFrom (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster MultBy (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let a, b be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster Divide (a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ,b : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let lb be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
cluster goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let lb be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) =0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let lb be ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) >0_goto lb : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural V24() V25() integer ext-real non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let fa be ( ( ) ( ) FinSeq-Location ) ;
let a, c be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) := (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let fa be ( ( ) ( ) FinSeq-Location ) ;
let a, c be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster (fa : ( ( ) ( ) FinSeq-Location ) ,a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) ) := c : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let fa be ( ( ) ( ) FinSeq-Location ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) :=len fa : ( ( ) ( ) FinSeq-Location ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;

registration
let fa be ( ( ) ( ) FinSeq-Location ) ;
let a be ( ( Int-like ) ( Int-like ) Int-Location) ;
cluster fa : ( ( ) ( ) FinSeq-Location ) :=<0,...,0> a : ( ( Int-like ) ( Int-like ) Element of the carrier of SCM+FSA : ( ( strict ) ( non empty with_non-empty_values IC-Ins-separated strict halting with_non_trivial_Instructions ) AMI-Struct over 3 : ( ( ) ( epsilon-transitive epsilon-connected ordinal natural non empty V24() V25() integer V63() ext-real positive non negative ) Element of NAT : ( ( ) ( epsilon-transitive epsilon-connected ordinal non empty non trivial non finite countable denumerable V64() ) Element of bool REAL : ( ( ) ( ) set ) : ( ( ) ( ) set ) ) ) ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non halting ) Instruction of ( ( standard-ins V72() V73() V75() ) ( Relation-like non empty standard-ins V72() V73() V75() ) set ) ) -> No-StopCode ;
end;